(b) statistic based on the observed data. Keep the second decimal place in your final answer. Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test

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(b)
statistic based on the observed data. Keep the second decimal place in
Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test
your
final answer.
Transcribed Image Text:(b) statistic based on the observed data. Keep the second decimal place in Write down the formula of the t statistic for the test in Part (a) and calculate the value of the test your final answer.
Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A
study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat
satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite
simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference
between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary
statistics.
Difference
Time
Ground (x) Satellite (y)
d = x – y
1
4.46
4.08
0.38
3.99
3.94
0.05
3.73
5.00
-1.27
4
3.29
5.20
-1.91
4.82
3.92
0.90
6.
6.71
6.21
0.50
7
4.61
5.95
-1.34
8
3.87
3.07
0.80
9.
3.17
4.76
-1.59
10
4.42
3.25
1.17
11
3.76
4.89
-1.13
12
3.30
4.80
-1.50
d = -0.41
Sd = 1.14
Transcribed Image Text:Information about ocean weather can be extracted from radar returns with the aid of a special algorithm. A study is conducted to estimate the difference in wind speed as measured on the ground and via the Seasat satellite. To do so, wind speeds (miles per hour) are measured on the ground and via the Seasat satellite simultaneously at 12 special times. The data is shown in the following table. The table also shows the difference between the wind speed on the ground and that via the Seasat satellite at each time, as well as some summary statistics. Difference Time Ground (x) Satellite (y) d = x – y 1 4.46 4.08 0.38 3.99 3.94 0.05 3.73 5.00 -1.27 4 3.29 5.20 -1.91 4.82 3.92 0.90 6. 6.71 6.21 0.50 7 4.61 5.95 -1.34 8 3.87 3.07 0.80 9. 3.17 4.76 -1.59 10 4.42 3.25 1.17 11 3.76 4.89 -1.13 12 3.30 4.80 -1.50 d = -0.41 Sd = 1.14
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